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Finding the Fourth Proportional to 215.89, 322.25 and 185.65

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Solution

The fourth proportional to 215.89, 322.25 and 185.65 is: 277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.89 : 322.25 = 185.65 : x
  2. Step 2: Convert to fraction form
    215.89/322.25 = 185.65/x
  3. Step 3: Cross multiply
    215.89x = 322.25 × 185.65
  4. Step 4: Simplify right side
    215.89x = 59,825.71
  5. Step 5: Solve for x
    x = 59,825.71/215.89
  6. Step 6: Final answer
    x = 277.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.